BODMAS explained
Build equations that hit the target by applying the order of operations correctly. Also known as BIDMAS, PEMDAS, order of operations.
The rules
- Brackets first, then Orders (powers and roots), then Division and Multiplication from left to right, then Addition and Subtraction from left to right.
- In the game, fill the equation boxes with numbers, brackets, fractions and powers so the expression equals the target.
- Each round has 15 questions, with step-by-step feedback showing how your expression is worked out.
Playing BODMAS Game on Puzzle Solvers
- Choose a mode and press Start Game.
- Fill the equation boxes using the keypad — numbers, brackets, powers (x², x³) and fractions.
- Submit to check; the animated breakdown shows how the expression is worked out.
- After 15 questions, the summary shows your score and what to focus on.
A worked example
Target 20 using 2, 3 and 4: 2 × (3 + 4) = 14 is too small; (2 + 3) × 4 = 20 works because the bracket is worked out first.
Without the brackets, 2 + 3 × 4 = 2 + 12 = 14 — the same numbers, a different answer.
Strategies
- Multiplication binds tighter. 3 + 4 × 2 is 3 + 8 = 11, not 14. Use brackets — (3 + 4) × 2 — when you mean 14.
- Left to right for equals. Division and multiplication have equal priority: 12 ÷ 3 × 2 = 4 × 2 = 8.
- Powers before multiplication. 2 × 3² = 2 × 9 = 18, not 36.
- Check with the breakdown. After each answer, read the step-by-step breakdown — it shows exactly which operation happened first.
Common mistakes
- Working strictly left to right: 6 + 6 ÷ 3 is 8, not 4.
- Thinking M comes before D because it comes first in the word. They have equal priority; go left to right.
Where it comes from
Mnemonics like BODMAS (UK, Australia), BIDMAS and PEMDAS (US) all describe the same convention, used in mathematics for well over a century.
Frequently asked questions
Is BODMAS the same as PEMDAS?
Yes. Parentheses = Brackets, Exponents = Orders; multiplication/division and addition/subtraction are each done left to right.
What year level is this for?
Order of operations is taught from about Year 5–6 and revised through Year 8; the game's modes cover simple to advanced expressions.
Does the game show working?
Yes — an animated step-by-step breakdown after each question.
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